integrals.wolfram.com   Use one of Mathematica's 2500+ functions FREE online

Wolfram Mathematica Online Integrator
The world's only full-power integration solver
∫
Log[2*(a*x + Sqrt[a]*Sqrt[c + a*x^2])]/Sqrt[a]

Integrate[1/Sqrt[c + a*x^2], x] ==
Log[2*(a*x + Sqrt[a]*Sqrt[c + a*x^2])]/Sqrt[a] 

                1
Integrate[--------------, x] == 
                      2
          Sqrt[c + a x ]

                                 2
Log[2 (a x + Sqrt[a] Sqrt[c + a x ])]
-------------------------------------
               Sqrt[a]
Time to compute: 0.03 second
Spread the word: